111649536 has 144 divisors (see below), whose sum is σ = 342165600. Its totient is φ = 35868672.

The previous prime is 111649513. The next prime is 111649579. The reversal of 111649536 is 635946111.

111649536 is a `hidden beast` number, since 1 + 1 + 1 + 649 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 111649536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200170 + ... + 200726.

It is an arithmetic number, because the mean of its divisors is an integer number (2376150).

Almost surely, 2^111649536 is an apocalyptic number.

111649536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171082800).

111649536 is an abundant number, since it is smaller than the sum of its proper divisors (230516064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111649536 is an equidigital number, since it uses as much as digits as its factorization.

111649536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 591 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 111649536 is about 10566.4344033359. The cubic root of 111649536 is about 481.5251488694.

The spelling of 111649536 in words is "one hundred eleven million, six hundred forty-nine thousand, five hundred thirty-six".